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1. 31
4:
4.3:
! " # $ % #
! "# $% & '! ( )
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A.
1. & &
1. & '# ( &)" #
! "# $ % &
*
+ &)" S=11*10 , ( *% &( - & # {11010,11110}
+ &)" S=*1*1 , ( && # &( - & # {0101,0111,1101,1111}
: .& + / - &( -' 0 ( ) & 0 '#
' # * 0 & ) & ( 0 (& %. . &)" S
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. & &)" 0 & '0 ' ) &' 0 ( 0 %
1 ( &)" & # * &% - 0 ( 0 % 0'
/ - .
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1. & '# ( &)" #
! "# $ % &
*
+ &)" S=11*100**1 , ( 23=8 &( - & #
+ &)" S=********* , ( 29=512 &( - & #
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&( - & " (# n:
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• . &)" k * 0 & 2k &( - & #
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2. A.
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*
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) " *
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• / % &( - & , ' & &)" 0 ( & & ) &
'# &( -' ( 0 0 ) " * &% - " *
A.
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*
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1 '# &)" # o(S):
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A.
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A.
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) & 0 ( , ( &)" ) (& ) " & ".
, ( 0 & # #:
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3. A.
2. +)" & ( % (
2. ! & & 0 & 0' (# %0 (#
+! "# $ % &
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A.
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8 6
9 ! :
30 (: pc 0 ' * & % & # *(S) & ' " # (
&)" #.

4. A.
2. +)" & ( % (
3. ! * & # ! & % & #
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0' 0 0 0 * % ' ' # '# &( - & (
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A.
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= 6
> : ! = 6 49
30 (: pm 0 ' 1 # (S) 1 ( &)" #.
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A.
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; 6 < A B C
30 ( 0 # ' 0' & # & # 0'* & # ( 0 (& % & &) &
& 0'* & ( &)" # * 0' %0 :
B !
30 ( eval(S) & 0'* & ( &)" # & 0'* & (
0 (& %.
A.
3. 0 & – 1 / & +)
2. *
(! "# $ % &
1: .& " &( & f, 0 ( ' * ) & * *( * "
&( - & x, " # = 4, * 0 & 0 ( & % 0 (
0 & 0' *( * ' ' x (0.). f(0011)=3, f(1111)=15 .).
1. & 0'* & ( &)" # S1=1**** , & &) &
" &( & f; & 0'* & ( &)" # S2=0****
& &) & &( & f; (0 & ' 0 (& '# 0 16
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1111
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0 # # 0 1 / & 0' 0 (& '; (0 &
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0 * & # * & % & # # 1 # .

5. )! "# $ % &
1:
+ &)" S1=1*** , (
0 &( - & #:
1000 eval(1000) = 8
1001 eval(1001) = 9
1010 eval(1010) = 10
1011 eval(1011) = 11
1100 eval(1100) = 12
1101 eval(1101) = 13
1110 eval(1110) = 14
1111 eval(1111) = 15
0 # & 0'* & ( &)" #
S1 & % :
5.118/)15141312111098(SF 1
+ &)" S2=0*** , ( 0
&( - & #:
0000 eval(0000) = 0
0001 eval(0001) = 1
0010 eval(0010) = 2
0011 eval(0011) = 3
0100 eval(0100) = 4
0101 eval(0101) = 5
0110 eval(0110) = 6
0111 eval(0111) = 7
0 # & 0'* & ( &)" #
S2 & % :
5.38/)76543210(SF 2
A.
3. 0 & – 1 / & +)
2. *
*! "# $ % &
2:
&( " 0'* & ( 0 (& % :
F=0+1+2+…+15=120 & 0'* & 7,5
2 , & 0'* & ( S1 53.33% % # & # 0'* & # ( 0 (& %,
=0.53 ( S2, 53.33% ' , =0,53.
4 & 0 % 1 & & : 1(S, t+k) = 1(S, t)*(1+ )k
t=0 ) ( 1(S1,0)=8, 0 0 (0 & ( : 1(S1, t+k) = 8*(1+ )k.
) =0.53 1(S, t+k)=16 ( S1, 0 "& & ' 0 (& ') ) ( :
16 = 8 *(1+0.53)k = 8 * 1.53k 2 = 1.53k
& ( *% ) ( :
log 2 = k * log (1.53)
k = (0.301/0.185) k= 1.63. +( 0 #, 0' 2 # ( ' &)" S1
0 "& & 0 (& '.
5) = -0.53 1(S1, t+k) <1 ) ( :
1 > 8 *(1-0.53)k = 8 * (0.47)k
& ( *% ) ( :
0 > log 8 + k * log (0.47) 0.903 +k (-0.327) < 0 (-0.327) k < -0.903 k > 2.73.
2 , 0' 3 # ( ' &)" S2 1 / & 0' 0 (& '.
A.
3. 0 & – 1 / & +)
2. *
+! "# $ % &
2: .& &)" S 0 ( 0 & 0 % , 0, & 60% '#
0 (& % (# n=100 ' # 0 ' # & /"# 0'
* & % & 1 . (0 & 0' 0'& # # &)" S …
(1) … 0 "& & ' 0 (& ' ( S ) ( '
25% % 0' & ' ( ) 0 (& %
: 4 & 0 % 1 & & :
1(S, t+k) = 1(S, t)*(1+ )k
t=0 ) ( 1(S,0)=60, 0 0 (0 & ( : 1(S, t+k) = 60*(1+ )k.
=0.25 1(S, t+k)=100 ) ( :
100 = 60 *(1+0.25)k = 60 * 1.25k
0 ( Log *% ) ( :
Log 100 = Log 60 + k * Log (1.25) k=2.28, 0 ( & k=3.
2 , 0' 3 # &)" S 0 "& & 0 (& '.
A.
3. 0 & – 1 / & +)
2. *
,! "# $ % &
3: .& &)" S 0 ( 0 & 0 % , 0, & 60% '#
0 (& % (# n=100 ' # 0 ' # & /"# 0'
* & % & 1 . (0 & 0' 0'& # # &)" S …
(2)… 1 / & 0' 0 (& ' ( S ) ( ' 10%
' 0' & ' ( ) 0 (& %
: 4 & 0 % 1 & & :
= -0.10 1(S, t+k) <1 ) ( :
1 > 60 *(1-0.10)k = 60 * 0.9k
0 ( Log *% ) ( :
1 > Log 60 + k * Log (0.9) k=38.8, 0 ( & k=39.
2 , 0' 39 # &)" S 1 / & 0' 0 (& '.
A.
3. 0 & – 1 / & +)
2. *

6. 5. & "& #
/ " 1
"& # *( * # &( - & # 1=11101111, 2=00010100, 3=01000011
1 &)" :
H1=1*******
H2=0*******
H3=******11
H4=***0*00*
H5=1*****1*
H6=1110**1*
1. # &( - & # , ( & &)" ;
2. 5 1 & ' " # &)" #
3. 60 & 0 ' 0 - & # &)" #, * & % &
0 ' * & % & # pc=0.85
4. 60 & 0 ' 0 - & # &)" #, 1
0 ' 1 # pm=0.001
! "# $ % &
5. & "& #
/ " 2
! "# $ % &
.& ' 0 (& '# 0 ( * & 0 0 ) '# 0 (& '# '# %
( 0 ( ) & 0 & 0 & # &( & #:
2
1
2
221 ),( xxxxf '0 ( x1
x2 & * & [0, 7]. 0 & & 1 # - "#
) & 0 % 3 bits (2
3
= 8), 0' 0 & & ) & # ( 0 (& %
) & 0 % 6 bits 3 & 0 & % - " x1 3 * 1 - " x2.
0 "& & , " 0 ( ( % &( 0 & 0 ( # 0 1 # - 4
* * 7 / ).
-
-
(FITNESS)
101011
5 111000
111011
! 101000
111001
! "# $ % &
( ) (5/15)
( 1) (3/5) (0 & 0'* & (Fitness) (# ( 0 (& % ( 7 0 &"
& # & 0 0 0 ). 0 *" ' ( ' ) 0 ) # #, * 0 %
(0 & % 0 ' # 0 "#.
# 0 0 & ( ' 0 '- ; "& 0 &" & #
&( 0 & " & " ( 0 0 , ' . 0 '- (0 )
(0 & ' # 0 ' # 0 "# ( 2
(
' (; # 0 0 & ;
( 2) (2/5) (0 & 0 ' 0 "# ' (, ) & 0 # 0 "
1 & # ( # ( 7 0 &" & # & 0 0 0 ).
( ) (3/15) (0 & ' ' / ' ( & 0' (
7 0 &" & # & 0 0 0 ).
! "# $ % &
( ) (7/15) .& ' 1 0 ( 0 %0 / " & # 0 "#,
* & % & # 1 # ( " 0 ( 0 , & 0 .
–
111 100
5 110 110
111 000
! 110 011
111 011
( 1) (2/7) .) - & 0'* & ( 0 (& % & 1 & &) & 0; '& )
- 0'* & ( % ( (# ( 0 (& % & 1 & &) & 0;

7. '! "# $ % &
( 2) (5/7) # ' # '# ' , &% / &) (Schema
Theorem), 0 ( & ) % & &)" S1=111*** & 2 "& ( ' / ',
* & % & 0 ' Pc=0.5 1 0 ' Pm=0.1;